Answer:
-675
Step-by-step explanation:
The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.
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Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.
The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.
The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...
75(-9) = -675
Answer:
y = 3x - 4
Step-by-step explanation:
The line crosses the y-axis at -4. The line goes 3 down and 1 left.
Answer:
105°
Step-by-step explanation:
Maps are usually oriented so that North is up. That means the southwest corner is below and to the left of the intersecting lines. Since numbered streets are usually parallel, we're to assume that W 22nd street is parallel to W 20th street. That makes Broadway a transversal of parallel lines, and it makes the angle of interest a corresponding angle to the one whose measure is shown.
In this (assumed) geometry, corresponding angles are congruent, so the angle of interest has measure 105°.
As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.
Answer: well search It up 1/10
Step-by-step explanation:
